Results 1 to 4 of 4

Math Help - One more area of region bounded by curves question...

  1. #1
    Member
    Joined
    Oct 2008
    Posts
    242

    One more area of region bounded by curves question...

    I think I'm getting a good handle on these problems as I do more of them, but this one (I've attached a picture) is tough because it involves trig functions. The intersection points for x are -pi/39 0 and pi/39 so I thought I'd use the integral from -pi/39 to positive pi/39. After integrating and getting -1/13ln(cos(x))-(-2/13)cos(13x) and I keep getting 0. Obviously this isn't right. Where am I going wrong?
    Attached Thumbnails Attached Thumbnails One more area of region bounded by curves question...-picture-3.png  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,125
    Thanks
    1009
    Quote Originally Posted by fattydq View Post
    I think I'm getting a good handle on these problems as I do more of them, but this one (I've attached a picture) is tough because it involves trig functions. The intersection points for x are -pi/39 0 and pi/39 so I thought I'd use the integral from -pi/39 to positive pi/39. After integrating and getting -1/13ln(cos(x))-(-2/13)cos(13x) and I keep getting 0. Obviously this isn't right. Where am I going wrong?
    \int_{-\frac{\pi}{39}}^0 \tan(13x) - 2\sin(13x) \, dx + \int_0^{\frac{\pi}{39}} 2\sin(13x) - \tan(13x) \, dx
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2008
    Posts
    242
    Ok...but why?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,125
    Thanks
    1009
    Quote Originally Posted by fattydq View Post
    Ok...but why?
    look at the graph and see why.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Region Bounded by Curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 8th 2009, 04:17 PM
  2. Replies: 4
    Last Post: August 13th 2009, 06:27 PM
  3. Replies: 8
    Last Post: February 23rd 2009, 05:40 PM
  4. Replies: 3
    Last Post: February 20th 2009, 02:02 PM
  5. Area of region bounded by these curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 19th 2009, 07:19 PM

Search Tags


/mathhelpforum @mathhelpforum